1971
DOI: 10.1126/science.172.3985.858
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Steady-State Sieving across Membranes

Abstract: The constraint of steady-state operation for sieving or ultrafiltration across membranes greatly restricts possible theoretical mechanisms. Effective sieving in the steady state requires the coexistence of a removal mechanism with the rejection mechanism. These points are illustrated without elaborate mathematics by a model of membranes in a series array with intervening compartments. This model also shows that in certain regimes the structure of the first membrane alone determines the overall sieving characte… Show more

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Cited by 16 publications
(6 citation statements)
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“…(1) is negligible, i.e., if the dissolved substance is completely excluded from the membrane, one will speak of a pressure-or osmosis-induced concentration polarization. This phenomenon should play a major role especially in technical reverse osmosis (Bressler, Wendt & Mason, 1971;Schl/Sgl, 1971). It should be allowed for, however, also in the thermodynamic treatment of transport phenomena (Dainty, 1963a).…”
Section: Theorymentioning
confidence: 99%
“…(1) is negligible, i.e., if the dissolved substance is completely excluded from the membrane, one will speak of a pressure-or osmosis-induced concentration polarization. This phenomenon should play a major role especially in technical reverse osmosis (Bressler, Wendt & Mason, 1971;Schl/Sgl, 1971). It should be allowed for, however, also in the thermodynamic treatment of transport phenomena (Dainty, 1963a).…”
Section: Theorymentioning
confidence: 99%
“…However, remarkable vertical stability of the intercalated particles (i.e. motion perpendicular to the plane of the membrane) is expected as vertical deviations would probably result in the 2 It is clear that this topological organization can include structural and functional asymmetries (7). In an 85 A particle it could also allow (although not necessarily) for the axial and terminal distribution of its hydrophilie regions which might provide a hydrophilic continuum across the membrane (Figs.…”
Section: Mip Bm Midmentioning
confidence: 99%
“…What we did claim was that, subject to certain simplifying but realizable conditions, the sieving properties of the array are determined by those properties intrinsic to the first membrane. Our reasoning is clearly, although perhaps tersely, set forth in our report (1) There are two views relating to this process which differ from one another in a quite fundamental way. According to the first view, sieving is regarded as taking place by an exclusion process: there is a dispersion of pore sizes with uniform particle sizes, or a dispersion of particle sizes with uniform pore sizes, or oddly shaped particles or pores (or both) so that some sor,t of lock-andkey arrangement involving proper orientation is required in order for solute to cross the membrane.…”
mentioning
confidence: 78%